Abstract

In this work we present a mathematical model for the flow of two fluids (micropolar and Newtonian ) through concentric cylinders having porous space of different permeability. The Poiseuille flow of micropolar fluid takes place in core region while Newtonian fluid in the annular region of concentric cylinders respectively. An analytical expression of velocity, flow rate, micro rotational velocity, wall shear stress for the flows of two-fluid through concentric cylinders have been evaluated. We also discuss the case of Newtonian-Newtonian fluid flow through concentric porous cylinders having different permeability. The significant effect of permeability parameter, micropolar fluid parameters, flow parameters on the velocity profile, flow rate and wall shear stress have been analyzed graphically. The model is applicable for the process of extraction of crude oil through the porous pipes, blood flow through arteries, and filtration process etc.

中文翻译：

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微极性牛顿流体通过充满多孔介质的同心管的泊流

摘要

在这项工作中，我们提出了两种流体（微极性和牛顿流体）流经具有不同渗透率的多孔空间的同心圆柱体的数学模型。微极性流体的泊雪流动发生在核心区域，而牛顿流体分别发生在同心圆柱的环形区域。评估了通过同心圆柱体的双流体流动的速度，流速，微旋转速度，壁切应力的解析表达式。我们还讨论了牛顿-牛顿流体流过具有不同渗透率的同心多孔圆柱体的情况。用图形分析了渗透率参数，微极性流体参数，流量参数对速度分布，流速和壁面剪应力的显着影响。